Is the word forma the same in Brazilian and European Portuguese?

Yes

The word "forma" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The differences are strictly phonetic:

• Vowels: In Brazilian Portuguese, the "o" is typically pronounced as an open [ɔ] sound. In Continental Portuguese, the "o" is often more closed [o] or may undergo more significant vowel reduction depending on the speaker's regional accent.
• The "r" sound: In many Brazilian dialects, the "r" is a retroflex sound (similar to the American English "r") or a soft alveolar tap. In Portugal, the "r" is typically a more guttural or uvular sound produced further back in the throat.

Brazilian Portuguese Examples

1. Essa é uma forma muito legal de estudar. (This is a very cool way to study.)
2. Coloque a massa na forma de bolo. (Put the batter in the cake pan.)
3. Ele está sempre em boa forma. (He is always in good shape.)
4. A forma como você fala é muito gentil. (The way you speak is very kind.)
5. O objeto tem uma forma estranha. (The object has a strange shape.)

Portuguese (Continental) Examples

1. Esta é uma forma muito gira de estudar. (This is a very nice way to study.)
2. Põe a massa na forma do bolo. (Put the batter in the cake pan.)
3. Ele está sempre em boa forma. (He is always in good shape.)
4. A forma como tu falas é muito gentil. (The way you speak is very kind.)
5. O objeto tem uma forma estranha. (The object has a strange shape.)